Kinematic Modeling and Dynamic Analysis of the Long-based Undulation Fin

Guangming Wang, Lincheng Shen, Tianjiang Hu
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引用次数: 5

Abstract

Within median and/or paired fin (MPF) propulsion, many fish routinely use the long-based undulatory fins as the sole means of locomotion. In this paper, the long-based undulatory fin of an Amiiform fish "G. niloticus" was investigated. A simplified physical model was brought forward, which makes up of N equal thin rods and a rectangular elasticmembrane connecting them together. With light mass, small stiffness and low natural vibration frequency, the long-based fin undulating and fluid loading may induce large flexible distortion of their long-based fins when swimming. We established a kinematic model of the long-based undulatory fin on the basis of analyzing the long-based dorsal fin locomotion and considering the fluid-structure interaction. Further, the equilibrium equations of the undulatory fin were obtained by applying the membrane theory of thin shells in which the geometrical non-linearity of the structure is taken into account. Last, we apply the derived the kinematic model and equilibrium equations of the undulatory fin to analyze the thrust and propulsive efficiency varying with the aspect ratio of the fin and the maximum swing amplitude
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长基波动鳍的运动学建模与动力学分析
在中鳍和/或成对鳍(MPF)推进中,许多鱼类通常使用长基波动鳍作为唯一的运动手段。本文研究了一种amiform鱼类“G. niloticus”的长基波动鳍。提出了一种简化的物理模型,该模型由N根相等的细杆和连接它们的矩形弹性膜组成。由于长鳍质量轻、刚度小、固有振动频率低,在游动过程中,长鳍的波动和流体载荷会引起大的柔性变形。在分析长基背鳍运动特性并考虑流固耦合的基础上,建立了长基波动鳍的运动学模型。在此基础上,应用考虑结构几何非线性的薄壳膜理论,建立了波纹鳍的平衡方程。最后,应用推导出的波动鳍运动模型和平衡方程,分析了推力和推进效率随鳍展弦比和最大摆幅的变化规律
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